There are two options to enable NTFS write; install a driver or enable the 'hidden' OSX support.
**WARNING**
At your own risk.I can't vouch for either of these solutions. I've used them both both in the past but no longer do so. Please protect your data as a first step. If you're in any doubt about progressing, please don't and I'll rethink.
I'd normally suggest Paragon, as above, it's been rock solid on three of my Macs. However, you seemed to encounter issues so you can try another third party driver
https://github.com/osxfuse/osxfuse/wiki/NTFS-3G
or enable the OSX support for NTFS:
Snipped from another site to save the re-typing:
Edit /etc/fstab (you can do this with "sudo nano /etc/fstab" as Carlos suggested
Add the following line:
LABEL="THE_NAME_OF_YOUR_VOLUME" none ntfs rw,auto,nobrowse
Quit your editor (if you used nano, you can do this with Control-X, Y, Enter as Carlos said)
Reboot, or if you prefer just unmount and re-mount the partition using Disk Utility
If you have Mountain Lion, the nobrowse mount option is required for this to work. This means that the partition will not show up on your desktop. However, you can access it normally through Finder by either:
Run Terminal and type "open /Volumes/THE_NAME_OF_YOUR_VOLUME" (without the quotes
In Finder, press Apple + the up arrow over and over until you see all of your mounted volumes. Your volume will be listed here.